This month’s puzzle was in fact solvable, and had multiple correct solutions. One example is 1TTTTTTTTT1TTTTTT00T0000011/111111111T0000001. These trits, when converted to base 10, represent the ratio 3002408341848069/5726584833 = 524293. It turns out every odd integer can be written as a ratio of representable numbers, although the proof is far from trivial, here is a paper about it.

Congratulations to everyone who found a correct solution!